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Finding the Fourth Proportional to 16,942.69, 23,380.97 and 9,389.15

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Solution

The fourth proportional to 16,942.69, 23,380.97 and 9,389.15 is: 12,957.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,942.69 : 23,380.97 = 9,389.15 : x
  2. Step 2: Convert to fraction form
    16,942.69/23,380.97 = 9,389.15/x
  3. Step 3: Cross multiply
    16,942.69x = 23,380.97 × 9,389.15
  4. Step 4: Simplify right side
    16,942.69x = 219,527,411.12
  5. Step 5: Solve for x
    x = 219,527,411.12/16,942.69
  6. Step 6: Final answer
    x = 12,957.05

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.